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Simplifying -2(3r + -1) + 5 = 2r + 3 Reorder the terms: -2(-1 + 3r) + 5 = 2r + 3 (-1 * -2 + 3r * -2) + 5 = 2r + 3 (2 + -6r) + 5 = 2r + 3 Reorder the terms: 2 + 5 + -6r = 2r + 3 Combine like terms: 2 + 5 = 7 7 + -6r = 2r + 3 Reorder the terms: 7 + -6r = 3 + 2r Solving 7 + -6r = 3 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 7 + -6r + -2r = 3 + 2r + -2r Combine like terms: -6r + -2r = -8r 7 + -8r = 3 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + -8r = 3 + 0 7 + -8r = 3 Add '-7' to each side of the equation. 7 + -7 + -8r = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -8r = 3 + -7 -8r = 3 + -7 Combine like terms: 3 + -7 = -4 -8r = -4 Divide each side by '-8'. r = 0.5 Simplifying r = 0.5
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